Finding the Third Proportional to 152,726 and 233,624

Step by Step Solution

1. Step 1: Write the proportion equation
   152,726 : 233,624 = 233,624 : x
2. Step 2: Convert to fraction form
   152,726/233,624 = 233,624/x
3. Step 3: Cross multiply
   152,726x = 233,624 × 233,624
4. Step 4: Simplify right side
   152,726x = 54,580,173,376
5. Step 5: Solve for x
   x = 54,580,173,376/152,726
6. Step 6: Final answer
   x = 357,373.16